393322752 has 108 divisors (see below), whose sum is σ = 1155802284. Its totient is φ = 128593920.

The previous prime is 393322729. The next prime is 393322777. The reversal of 393322752 is 257223393.

It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 99680256 = 17136^2 + 9984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120502 + ... + 123722.

It is an arithmetic number, because the mean of its divisors is an integer number (10701873).

Almost surely, 2^393322752 is an apocalyptic number.

393322752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393322752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577901142).

393322752 is an abundant number, since it is smaller than the sum of its proper divisors (762479532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393322752 is a wasteful number, since it uses less digits than its factorization.

393322752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3279 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 393322752 is about 19832.3662733422. The cubic root of 393322752 is about 732.6834072686.

The spelling of 393322752 in words is "three hundred ninety-three million, three hundred twenty-two thousand, seven hundred fifty-two".